Magnetic moment, vorticity-spin coupling and parity-odd conductivity of chiral fermions in 4-dimensional Wigner functions

Abstract

We demonstrate the emergence of the magnetic moment and spin-vorticity coupling of chiral fermions in 4-dimensional Wigner functions. In linear response theory with space-time varying electromagnetic fields, the parity-odd part of the electric conductivity can also be derived which reproduces results of the one-loop and the hard-thermal or hard-dense loop. All these properties show that the 4-dimensional Wigner functions capture comprehensive aspects of physics for chiral fermions in electromagnetic fields.

RevTex 4, 5 pages, no figure. Appendix A and B are added about derivation of Eq.(7) and about Wigner functions in space-time varying electromagnetic fields. Accepted by PLB

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• What can we learn from global spin alignment of $\varphi$ meson in heavy-ion collisions?
• Local spin polarization in high energy heavy ion collisions
• A quark coalescence model for polarized vector mesons and baryons
• Disentangling covariant Wigner functions for chiral fermions
• Foundations and Applications of Quantum Kinetic Theory
• A microscopic description for polarization in particle scatterings
• Covariant chiral kinetic equation in Wigner function approach
• Vorticity and Spin Polarization in Heavy Ion Collisions: Transport Models
• Charge redistribution from anomalous magnetovorticity coupling
• Anomalous magnetohydrodynamics with longitudinal boost invariance and chiral magnetic effect
• The chiral vortical effect in Wigner function approach
• Pseudoscalar condensation induced by chiral anomaly and vorticity for massive fermions
• Wigner functions of massive fermions in strong magnetic fields
• Quantum kinetic theory for spin-1/2 fermions in Wigner function formalism
• Relaxation time for the alignment between the spin of a finite-mass quark/antiquark and the thermal vorticity in relativistic heavy-ion collisions
• Second-order Charge Currents and Stress Tensor in Chiral System
• Effect of Coriolis Force on Electrical Conductivity Tensor for Rotating Hadron Resonance Gas
• Chiral magnetic effect for chiral fermion system
• Effect of the Coriolis force on the electrical conductivity of quark matter: A nonrelativistic description
• Effect of Coriolis force on the shear viscosity of quark matter: A nonrelativistic description
• Six-dimensional light-front Wigner distribution of hadrons
• Lepton pair production in ultra-peripheral collisions